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We derive an analytic expression for point-to-point correlation functions of the Polyakov loop based on the transfer matrix formalism. For the $2d$ Ising model we show that the results deduced from point-point spin correlators are…

High Energy Physics - Lattice · Physics 2009-10-28 J. ~Engels , V. K. ~Mitrjushkin , T. ~Neuhaus

We examine SU(2) gauge theory in 3+1 dimensions at finite temperature in the vicinity of critical point. For various lattice sizes in time direction ($N_\tau=1,2,4,8$) we extract high precision values of the inverse critical coupling and…

High Energy Physics - Lattice · Physics 2008-11-26 Alexander Velytsky

Polyakov loop eigenvalues and their N-dependence are studied in 2 and 4 dimensional SU(N) YM theory. The connected correlation function of the single eigenvalue distributions of two separated Polyakov loops in 2D YM is calculated and is…

High Energy Physics - Lattice · Physics 2015-06-16 Herbert Neuberger

We determine from Polyakov loop correlators the screening masses in th e deconfined phase of the (3+1)d SU(3) pure gauge theory at finite temperature near transition, for two different channels of angular momentum and parity. Their ratio is…

High Energy Physics - Lattice · Physics 2015-06-30 Rossella Falcone , Roberto Fiore , Mario Gravina , Alessandro Papa

We determine from Polyakov loop correlators the screening masses in the deconfined phase of the (3+1)d SU(3) pure gauge theory at finite temperature near the transition, for two different channels of angular momentum and parity. Their ratio…

High Energy Physics - Lattice · Physics 2008-11-26 Rossella Falcone , Roberto Fiore , Mario Gravina , Alessandro Papa

We calculate the critical amplitudes of the Polyakov loop and its susceptibility at the deconfinement transition of SU(2) gauge theory. To this end we carefully study the corrections to the scaling functions of the observables coming from…

High Energy Physics - Lattice · Physics 2009-10-31 J. Engels , T. Scheideler

The deconfinement transition in SU(2) gauge theory and the magnetization transition in the Ising model belong to the same universality class. The critical behaviour of the Ising model can be characterized either as spontaneous breaking of…

High Energy Physics - Lattice · Physics 2014-11-17 Santo Fortunato , Helmut Satz

We compare SU(2) Polyakov loop models with different effective actions with data from full two-color QCD simulations around and above the critical temperature. We then apply the effective theories at finite temperature and density to…

High Energy Physics - Lattice · Physics 2014-12-23 Philipp Scior , David Scheffler , Dominik Smith , Lorenz von Smekal

I describe a study of the two-point single-eigenvalue distribution correlation function of Polyakov loops in the confined phase of four dimensional SU(N) YM theory at large N. The reasons for the interest in this correlation function are…

High Energy Physics - Lattice · Physics 2014-10-14 Herbert Neuberger

In this paper, we use a definition of the Debye screening mass in SU(2) pure gauge theory at high temperature in 3+1 dimensions, that makes use of the walls between different $Z_2$ domains. We show, that this definition enables us to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dietrich Matthes

Completion of the Svetitsky-Yaffe conjecture in some (2+1) dimensional SU(N) gauge theories allows mapping Polyakov loops in higher representations of the gauge group into suitable conformal operators of the corresponding 2D CFT. As a…

High Energy Physics - Lattice · Physics 2007-05-23 F. Gliozzi

The critical properties of the abelian Polyakov loop and the Polyakov loop in terms of Dirac string are studied in finite temperature abelian projected $SU(2)$ QCD. The critical point and the critical exponents are determined from each…

High Energy Physics - Lattice · Physics 2009-10-28 Shun-ichi Kitahara , Shinji Ejiri , Tsuneo Suzuki , Koji Yasuta

Deconfinement and screening of higher-representation sources in finite-temperature $SU(2)$ lattice gauge theory is investigated by both analytical and numerical means. The effective Polyakov-line action at strong coupling is simulated by an…

High Energy Physics - Lattice · Physics 2009-10-22 P. H. Damgaard , M. Hasenbusch

Using the example of the SU(2) gauge theory in 3+1 dimensions we consider the construction of a 3-dimensional effective model in terms of Polyakov loops. We demonstrate the application of an equilibrium self-consistency condition to the…

High Energy Physics - Lattice · Physics 2008-11-26 Alexander Velytsky

We discuss the two point functions for the real and imaginary parts of the Polyakov loop in a pure SU(3) gauge theory. The behavior of these correlation functions in the Polyakov Loop Model is markedly different from that in perturbation…

High Energy Physics - Lattice · Physics 2007-05-23 Adrian Dumitru , Robert D. Pisarski

Effective theories are helpful tools to gain an intuitive insight into phenomena governed by complex laws. In this work we show by means of Monte Carlo simulations that Z(2) spin models with only spin-spin interactions approximate rather…

High Energy Physics - Lattice · Physics 2009-10-31 S. Fortunato , F. Karsch , P. Petreczky , H. Satz

An attempt to adapt the study of color flux tubes to the case of finite temperature has been made. The field is measured both through the correlator of two Polyakov loops, one of which connected to a plaquette, and through a connected…

High Energy Physics - Lattice · Physics 2015-11-02 Paolo Cea , Leonardo Cosmai , Francesca Cuteri , Alessandro Papa

Let B be the largest spacing between adjacent eigenvalues of the Polyakov loop. We propose to employ the distribution of B as an order parameter for the finite temperature phase transition in SU(N) lattice gauge theories. Using smeared…

High Energy Physics - Lattice · Physics 2009-11-10 F. Berruto , R. Narayanan , H. Neuberger

Computations of screening masses in finite-temperature QCD at finite density are plagued by the sign problem and have been performed so far with an imaginary chemical potential. Here, we use a dual formulation of a Polyakov-loop model which…

High Energy Physics - Lattice · Physics 2023-09-13 O. Borisenko , V. Chelnokov , E. Mendicelli , A. Papa

The deconfinement transition in SU(2) gauge theory and the magnetization transition in the Ising model belong to the same universality class. The critical behaviour of the Ising model can be characterized either as spontaneous breaking of…

High Energy Physics - Lattice · Physics 2009-10-31 Santo Fortunato , Helmut Satz
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